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Finding the Third Proportional to 475,836 and 695,886

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Solution

The third proportional to 475,836 and 695,886 is: 1,017,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,836 : 695,886 = 695,886 : x
  2. Step 2: Convert to fraction form
    475,836/695,886 = 695,886/x
  3. Step 3: Cross multiply
    475,836x = 695,886 × 695,886
  4. Step 4: Simplify right side
    475,836x = 484,257,324,996
  5. Step 5: Solve for x
    x = 484,257,324,996/475,836
  6. Step 6: Final answer
    x = 1,017,697.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.